Improved Analysis for Squeezing of Newtonian Material between Two Circular Plates. (28th March 2017)

• Record Type: Journal Article
• Authors: Khan, Omar; Qayyum, Mubashir; Khan, Hamid; Ali, Murtaza
• Other Names: Yi Wenbin Academic Editor.
• Is Part Of: Advances in materials science and engineering. Volume 2017(2017)
• Publication Date: 2017-03-28
• Subjects: Materials science -- Periodicals; Materials science; Periodicals; 620.11
• DOI: 10.1155/2017/5703291
• Languages: English
• ISSNs: 1687-8434

Abstract

Abstract : This article presents a scheme for the analysis of an unsteady axisymmetric flow of incompressible Newtonian material in the form of liquid squeezed between two circular plates. The scheme combines traditional perturbation technique with homotopy using an adaptation of the Laplace Transform. The proposed method is tested against other schemes such as the Regular Perturbation Method (RPM), Homotopy Perturbation Method (HPM), Optimal Homotopy Asymptotic Method (OHAM), and the fourth-order Explicit Runge-Kutta Method (ERK4). Comparison of the solutions along with absolute residual errors confirms that the proposed scheme surpasses HPM, OHAM, RPM, and ERK4 in terms of accuracy. The article also investigates the effect of Reynolds number on the velocity profile and pressure variation graphically.